The time between 5 pm and 6 pm on a day at which the two hands of the clock will be at an angle of $$97\frac{1^{\circ}}{2}$$ for the first time.

A

5 hours $$9\frac{6}{11}$$ min

B

5 hours 35 min

C

5 hours $$47\frac{3}{11}$$ min

D

5 hours 45 min